Algebra 2 6-5 Guided Practice: Solving Square Root and Other Radical Equations

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Solve It! You are a passenger in the car. You are using a cell phone that connects with the cell phone tower shown. The tower has an effective range of 6 mi. How many miles do you have to finish your call?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: What is a radical equation?

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Take Note: Provide an example of a simplified radical equation with an index of 3 that includes only one variable.

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Take Note: Consider the radical equation \sqrt[5]{2x}-4=0.

Identify the steps necessary to isolate the variable.

Raise both sides to the \frac{1}{5} power
Add 4 to each side
Subtract 4 from each side
Raise both sides to the 5th power
Apply \sqrt[5]{} to both sides
Multiply both sides by 2
Divide both sides by 2

Step 1
Step 2
Step 3

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Problem 1 Got It?

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Problem 2 Got It?

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10

Problem 3 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: What is an extraneous solution?

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Take Note: How can you identify extraneous solutions?

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Problem 4 Got It? Solve the radical equation. Check your results for extraneous solutions.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: How can graphs be used to identify extraneous solutions?

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Take Note: Summarize the process for solving an equation containing two radical expressions.

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Problem 5 Got It?

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Algebra 2 6-5 Guided Practice: Solving Square Root and Other Radical Equations

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! You are a passenger in the car. You are using a cell phone that connects with the cell phone tower shown. The tower has an effective range of 6 mi. How many miles do you have to finish your call?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: What is a radical equation?

Take Note: Provide an example of a simplified radical equation with an index of 3 that includes only one variable.

Take Note: Consider the radical equation \sqrt[5]{2x}-4=0.Identify the steps necessary to isolate the variable.

Problem 1 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 2 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 3 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: What is an extraneous solution?

Take Note: How can you identify extraneous solutions?

Problem 4 Got It? Solve the radical equation. Check your results for extraneous solutions.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: How can graphs be used to identify extraneous solutions?

Take Note: Summarize the process for solving an equation containing two radical expressions.

Problem 5 Got It?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! You are a passenger in the car. You are using a cell phone that connects with the cell phone tower shown. The tower has an effective range of 6 mi. How many miles do you have to finish your call?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: What is a radical equation?

Take Note: Provide an example of a simplified radical equation with an index of 3 that includes only one variable.

Take Note: Summarize the process for solving a radical equation.

Take Note: What is a square root equation?

Take Note: Provide an example of a square root equation that includes only 1 variable.

Take Note: Consider the radical equation \sqrt[5]{2x}-4=0.Identify the steps necessary to isolate the variable.

Problem 1 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Which step isolates x in the radical equation below?

Problem 2 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 3 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: What is an extraneous solution?

Take Note: Are extraneous solutions values that work in the related (aka original) equation?

Take Note: How can you identify extraneous solutions?

Problem 4 Got It? Solve the radical equation. Check your results for extraneous solutions.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: How can graphs be used to identify extraneous solutions?

Take Note: Summarize the process for solving an equation containing two radical expressions.

Problem 5 Got It?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Summarize the process for solving a radical equation.

Take Note: What is a square root equation?

Take Note: Provide an example of a square root equation that includes only 1 variable.

Take Note: Which step isolates x in the radical equation below?

Take Note: Are extraneous solutions values that work in the related (aka original) equation?

Take Note: Consider the radical equation \sqrt[5]{2x}-4=0.

Identify the steps necessary to isolate the variable.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Consider the radical equation \sqrt[5]{2x}-4=0.

Identify the steps necessary to isolate the variable.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?